An axisymmetric generalized harmonic evolution code
An axisymmetric generalized harmonic evolution code
复制标题
轴对称广义调和演化码
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
E. Sorkin
中科院分区：
文献类型：
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作者：
E. Sorkin
我们描述的第一个轴对称数值代码的基础上广义谐波制定的爱因斯坦方程，这是经常在轴上。我们通过研究卡鲁扎-克莱因时空中复标量场分布的引力坍缩来测试代码。调和公式的关键问题之一是规范源函数的选择，我们得出结论，阻尼波规范是非常强大的，在这种情况下。我们的初步研究表明，规则初始数据的演化导致了球视界和柱视界黑洞的形成。有趣的是，我们发现有证据表明，在黑洞形成的阈值附近，结果的数量会激增。具体地说，坍缩物质分裂成单独的脉冲，其中两个脉冲沿沿着致密维度以相反的方向行进，另一个脉冲从轴径向喷出。取决于初始条件，曲率奇异性的发展内的脉冲。
We describe the first axisymmetric numerical code based on the generalized harmonic formulation of the Einstein equations, which is regular at the axis. We test the code by investigating gravitational collapse of distributions of complex scalar field in a Kaluza-Klein spacetime. One of the key issues of the harmonic formulation is the choice of the gauge source functions, and we conclude that a damped-wave gauge is remarkably robust in this case. Our preliminary study indicates that evolution of regular initial data leads to formation both of black holes with spherical and cylindrical horizon topologies. Intriguingly, we find evidence that near threshold for black hole formation the number of outcomes proliferates. Specifically, the collapsing matter splits into individual pulses, two of which travel in the opposite directions along the compact dimension and one which is ejected radially from the axis. Depending on the initial conditions, a curvature singularity develops inside the pulses.